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Finding the Fourth Proportional to 389,635.80, 584,453.70 and 319,594.20

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Solution

The fourth proportional to 389,635.80, 584,453.70 and 319,594.20 is: 479,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,635.80 : 584,453.70 = 319,594.20 : x
  2. Step 2: Convert to fraction form
    389,635.80/584,453.70 = 319,594.20/x
  3. Step 3: Cross multiply
    389,635.80x = 584,453.70 × 319,594.20
  4. Step 4: Simplify right side
    389,635.80x = 186,788,012,688.54
  5. Step 5: Solve for x
    x = 186,788,012,688.54/389,635.80
  6. Step 6: Final answer
    x = 479,391.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.